A slide motion control apparatus for a mechanical press comprising: a slide which is disposed so as to be relatively vertically movable with respect to a driven body to which a drive force is transmitted through a con rod of the mechanical press; a relative position commander that outputs a relative position command indicating a relative position of the slide with respect to the driven body; a relative position detector that detects a relative position of the slide with respect to the driven body, and outputs a relative position detecting signal indicating the detected relative position; a servomotor; a drive mechanism that relatively moves the slide with respect to the driven body by a drive force of the servomotor; and a controller that controls the servomotor based on a relative position command signal output from the relative position commander, and the relative position detecting signal output from the relative position detector.